{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X=np.random.normal(0,1,size=(200,2))\n",
    "y=np.array(X[:,0]**2+X[:,1]**2<1.5,dtype='int')\n",
    "plt.scatter(X[y==0,0],X[y==0,1])#符合y=0的对应X的分布\n",
    "plt.scatter(X[y==1,0],X[y==1,1])#符合y=1的对应X的分布\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "使用逻辑回归"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.69"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from LogicRegression import LogisticRegression\n",
    "log_reg=LogisticRegression()\n",
    "log_reg.fit(X,y)\n",
    "log_reg.score(X,y)#匹配度很低"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "\"\"\"绘制决策边界的函数\"\"\"\n",
    "def plot_decision_boundary(model, axis):\n",
    "    x0, x1 = np.meshgrid(\n",
    "        np.linspace(axis[0], axis[1], int((axis[1]-axis[0])*100)).reshape(-1, 1),\n",
    "        np.linspace(axis[2], axis[3], int((axis[3]-axis[2])*100)).reshape(-1, 1)\n",
    "    )\n",
    "    X_new = np.c_[x0.ravel(), x1.ravel()]\n",
    "    y_predict = model.predict(X_new)\n",
    "    zz = y_predict.reshape(x0.shape)\n",
    "\n",
    "    from matplotlib.colors import ListedColormap\n",
    "    custom_cmap = ListedColormap(['#EF9A9A', '#FFF59D', '#90CAF9'])\n",
    "\n",
    "    plt.contourf(x0, x1, zz, cmap=custom_cmap)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x2bf216d0160>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#绘制决策边界，发现决策边界是一条直线，适配度不好\n",
    "plot_decision_boundary(log_reg,axis=[-4,4,-4,4])\n",
    "plt.scatter(X[y==0,0],X[y==0,1])\n",
    "plt.scatter(X[y==1,0],X[y==1,1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "多项式特征"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.pipeline import Pipeline\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "from sklearn.preprocessing import PolynomialFeatures\n",
    "def poly_normialLogisticRegression(degree):\n",
    "    return Pipeline([\n",
    "        (\"poly\",PolynomialFeatures(degree=degree)),\n",
    "        (\"std\",StandardScaler()),\n",
    "        ('logic',LogisticRegression())\n",
    "    ])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.965"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "poly_logic_reg=poly_normialLogisticRegression(degree=2)\n",
    "poly_logic_reg.fit(X,y)\n",
    "poly_logic_reg.score(X,y)#匹配度提高"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x2bf39863dc0>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#绘制决策边界,清晰很多\n",
    "plot_decision_boundary(poly_logic_reg,axis=[-4,4,-4,4])\n",
    "plt.scatter(X[y==0,0],X[y==0,1])\n",
    "plt.scatter(X[y==1,0],X[y==1,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "z:\\PYwork\\ML\\逻辑回归\\LogicRegression.py:13: RuntimeWarning: overflow encountered in exp\n",
      "  return 1./(1.+np.exp(-t))\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x2bf20e51910>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#设置到degree=20,过拟合,degree越大,模型越复杂\n",
    "\"\"\"方案1：简化degree；方案2：模型正则化\"\"\"\n",
    "\"\"\"sklearn建议在模型使用中都使用正则化\"\"\"\n",
    "poly_logic_reg2=poly_normialLogisticRegression(degree=20)\n",
    "poly_logic_reg2.fit(X,y)\n",
    "plot_decision_boundary(poly_logic_reg2,axis=[-4,4,-4,4])\n",
    "plt.scatter(X[y==0,0],X[y==0,1])\n",
    "plt.scatter(X[y==1,0],X[y==1,1])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "base",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
